Accession Number:

AD0872813

Title:

Nonlinear Free Vibrations of Thin, Circular Cylindrical Shells

Descriptive Note:

Final technical rept.

Corporate Author:

STANFORD UNIV CA DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s):

• Mayers, Jean
• Wrenn, Bruce G.

Report Date:

1970-07-01

Pagination or Media Count:

74.0

Abstract:

The report presents the results of a study of the influence of higher order and nonlinear effects on the free vibration behavior of thin, circular cylindrical shells. A recent solution utilizing strain-displacement relations is examined and criticized. A new solution is carried out which removes the basis for criticism and discloses the existence of a nonperiodic vibration behavior, a phenomenon heretofore unknown. Further, solutions are obtained using strain-displacement relations applied to the shell post-buckling problem. The effect of the improved strain-displacement relations in predicting the vibration behavior attendant to a modal shape possessing a small number of circumferential waves is assessed, and recommendations are made for directing future effort on the problem.

Descriptors:

• *CYLINDRICAL BODIES
• *SHELLS(STRUCTURAL FORMS)
• ARMY RESEARCH
• BUCKLING
• CURVE FITTING
• DYNAMICS
• ENERGY
• EQUATIONS OF MOTION
• MATHEMATICAL PREDICTION
• NONLINEAR SYSTEMS
• STRAIN(MECHANICS)
• VIBRATION

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE